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Atlas › Integer Profiles › Node 17,515,014

17,515,014

2 × 3 × 11 × 29 × 9151
Abundant Even Composite

17,515,014 factors as 2 × 3 × 11 × 29 × 9151. Its 32 positive divisors give a proper-divisor sum of 22,021,626, so this integer is abundant. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 29 × 9151
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 39,536,640
Proper Divisor Sum 22,021,626
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #17515013 ← → #17515019

Radix Representation

Decimal 17515014
Binary 1000010110100001000000110 (25 bits)
Octal 0o102641006
Hexadecimal 0x10B4206

Divisor Catalog (32)

1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1,914 9,151 18,302 27,453 54,906 100,661 201,322 265,379 301,983 530,758 603,966 796,137 1,592,274 2,919,169 5,838,338 8,757,507 17,515,014

Collatz Trajectory (213 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

17,515,014 8,757,507 26,272,522 13,136,261 39,408,784 19,704,392 9,852,196 4,926,098 2,463,049 7,389,148 3,694,574 1,847,287 5,541,862 2,770,931 8,312,794 4,156,397 12,469,192 6,234,596 3,117,298 1,558,649 4,675,948 2,337,974 1,168,987 3,506,962 1,753,481 5,260,444 2,630,222 1,315,111 3,945,334 1,972,667 5,918,002 2,959,001 8,877,004 4,438,502 2,219,251 6,657,754 3,328,877 9,986,632 4,993,316 2,496,658 1,248,329 3,744,988 1,872,494 936,247 2,808,742 1,404,371 4,213,114 2,106,557 6,319,672 3,159,836 1,579,918 789,959 2,369,878 1,184,939 3,554,818 1,777,409 5,332,228 2,666,114 1,333,057 3,999,172

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